Master Quadratic Equation Factoring

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What is the mathematical equation that represents the path of the bird in the game?

The mathematical equation that represents the path of the bird in the game is $y = -x^2 + 6x + 16$.

What does the variable y represent in the quadratic equation?

The variable y in the quadratic equation represents the height of the bird.

What does the variable x represent in the quadratic equation?

The variable x in the quadratic equation represents the distance the bird has traveled.

What value of y represents the height of the bird when it hits the ground?

The value of y that represents the height of the bird when it hits the ground is 0. Signup and view all the answers

What is the equation asking in terms of the bird hitting the ground?

The equation is asking how far the bird will go before it hits the ground. Signup and view all the answers

What is the strategy for solving quadratic equations?

Factoring Signup and view all the answers

What is the standard form of the quadratic equation?

The standard form of the quadratic equation is $y = ax^2 + bx + c$. Signup and view all the answers

What is the zero product property?

If the product of two things equals zero, then at least one of the things must be zero. Signup and view all the answers

What is the intercept form of the quadratic equation?

The intercept form of the quadratic equation is $y = a(x - p)(x - q)$. Signup and view all the answers

How can we find the x-intercepts of a quadratic equation?

By factoring the quadratic equation. Signup and view all the answers

What does factoring do to the quadratic equation?

Factoring changes the equation from standard form to intercept form. Signup and view all the answers

How can we determine the values of x in a quadratic equation?

By setting the equation equal to zero and finding the values of x that make the equation true. Signup and view all the answers

What is the hint given to the player to ensure a direct hit?

The hint given to the player is to use the mathematical equation in the corner of the screen. Signup and view all the answers

How many shots does the player have to make a hit in the game?

The player only has one shot to make a hit in the game. Signup and view all the answers

How can we solve quadratic equations with negative x^2 terms?

By factoring out the negative from each term. Signup and view all the answers

What is the factored form of the quadratic equation $x^2 - 6x + 8$?

$(x-2)(x-4)$ Signup and view all the answers

What is the factored form of the quadratic equation $2x^2 - 4x - 6$?

$(2x+2)(x-3)$ Signup and view all the answers

What is the value of x when the quadratic equation $x^2 - 6x + 8$ equals zero?

$x=2$ or $x=4$ Signup and view all the answers

What is the value of x when the quadratic equation $2x^2 - 4x - 6$ equals zero?

$x=-2$ or $x=3$ Signup and view all the answers

What does the factored form of a quadratic equation tell us?

It tells us the x-intercepts of the equation, or where the quadratic equation crosses the x-axis. Signup and view all the answers